1 citations · 1 across the 5 of their papers we have counts for
7 papers
A non-trivial dynamics on the directed landscape
Manan Bhatia
We prove the existence of a non-trivial continuous stationary reversible dynamics on the directed landscape as a subsequential scaling limit of Brownian last passage percolation un…
Geodesic traces in dynamical Brownian last passage percolation
Manan Bhatia
We consider Brownian last passage percolation (BLPP) in which the Brownian increment process on each unit horizontal interval is independently resampled at rate one. By combining s…
Uniformity of extremal behaviour along geodesics in Liouville quantum gravity
Manan Bhatia, Konstantinos Kavvadias
In random geometry, geodesics often have a tendency to coalesce together and traverse regions highly singular relative to typical environments. In this paper, working with the mode…
Strong confluence of geodesics in Liouville quantum gravity
Manan Bhatia, Konstantinos Kavvadias
-Liouville quantum gravity (-LQG) constitutes a family of planar random geometries whose geodesics exhibit intricate fractal behaviour. As is observed in various planar model…
Geodesic switches and exceptional times in dynamical Brownian last passage percolation
Manan Bhatia
We consider Brownian last passage percolation evolving dynamically via a discrete resampling procedure. Using to denote a geodesic from to at…
Near-existence of bigeodesics in dynamical exponential last passage percolation
Manan Bhatia
It is believed that, under very general conditions, bi-infinite geodesics (or bigeodesics) do not exist for planar first and last passage percolation (LPP) models. However, if one…
The metric removability of interfaces in the directed landscape
Manan Bhatia
The directed landscape is a prominent model of random geometry which is believed to be the universal scaling limit of all planar random geometries in the Kardar-Parisi-Zhang univer…